Creature forcing/a request for reference












2












$begingroup$


I'm looking for a paper/book/volume treating the forcing with creatures.
I've found one by Roslanowski-Shelah, but this one is too much complicated.
Are all references similarly complicated? Some gentle introduction would be welcome.



Can someone reading this post write such a paper and give here a link to it ?






reference-request set-theory forcing







share|cite|improve this question











$endgroup$








  • 1




    $begingroup$
    Sadly, that's the simplest text I've found on the subject - I'm excited to hear of a better one, though! (I don't know why there's the large cardinals tag here, though.)
    $endgroup$
    – Noah Schweber
    Dec 24 '18 at 17:49












  • $begingroup$
    The tag has been fixed. Do you mean that there are yet more complicated texts?
    $endgroup$
    – user122424
    Dec 24 '18 at 17:53






  • 4




    $begingroup$
    Step I: Read "Games with creatures" by Shelah and Zapletal (which focuses on some very basic examples of creature forcing) and the relevant examples in chapter 4 of Zapletal's "Forcing idealized" (which also shows an interesting correspondence between certain types of creature forcings and Hausdorff submeasures). Step II: Read some of the relevant papers by Kellner and Shelah. Step III: Write a paper with Shelah on creature forcing. Step IV: Read the Roslanowski-Shelah book. That was my path into creature forcing, and is still the easiest path that I can think of.
    $endgroup$
    – Haim
    Dec 24 '18 at 23:20








  • 1




    $begingroup$
    @Haim: I wouldn't say that you're the epitome of "easy paths", though. :-) [I'm not disagreeing with your outline, though, just making a point.]
    $endgroup$
    – Asaf Karagila♦
    Dec 24 '18 at 23:39








  • 1




    $begingroup$
    @Haim I think you should give that (at least I and II) as an answer: I don't think there will be a better one, and the Shelah/Zapletal and Zapletal texts might be new to the OP and other readers of this question so it really does contribute something.
    $endgroup$
    – Noah Schweber
    Dec 29 '18 at 4:18
















2












$begingroup$


I'm looking for a paper/book/volume treating the forcing with creatures.
I've found one by Roslanowski-Shelah, but this one is too much complicated.
Are all references similarly complicated? Some gentle introduction would be welcome.



Can someone reading this post write such a paper and give here a link to it ?






reference-request set-theory forcing







share|cite|improve this question











$endgroup$








  • 1




    $begingroup$
    Sadly, that's the simplest text I've found on the subject - I'm excited to hear of a better one, though! (I don't know why there's the large cardinals tag here, though.)
    $endgroup$
    – Noah Schweber
    Dec 24 '18 at 17:49












  • $begingroup$
    The tag has been fixed. Do you mean that there are yet more complicated texts?
    $endgroup$
    – user122424
    Dec 24 '18 at 17:53






  • 4




    $begingroup$
    Step I: Read "Games with creatures" by Shelah and Zapletal (which focuses on some very basic examples of creature forcing) and the relevant examples in chapter 4 of Zapletal's "Forcing idealized" (which also shows an interesting correspondence between certain types of creature forcings and Hausdorff submeasures). Step II: Read some of the relevant papers by Kellner and Shelah. Step III: Write a paper with Shelah on creature forcing. Step IV: Read the Roslanowski-Shelah book. That was my path into creature forcing, and is still the easiest path that I can think of.
    $endgroup$
    – Haim
    Dec 24 '18 at 23:20








  • 1




    $begingroup$
    @Haim: I wouldn't say that you're the epitome of "easy paths", though. :-) [I'm not disagreeing with your outline, though, just making a point.]
    $endgroup$
    – Asaf Karagila♦
    Dec 24 '18 at 23:39








  • 1




    $begingroup$
    @Haim I think you should give that (at least I and II) as an answer: I don't think there will be a better one, and the Shelah/Zapletal and Zapletal texts might be new to the OP and other readers of this question so it really does contribute something.
    $endgroup$
    – Noah Schweber
    Dec 29 '18 at 4:18














2












2








2


1



$begingroup$


I'm looking for a paper/book/volume treating the forcing with creatures.
I've found one by Roslanowski-Shelah, but this one is too much complicated.
Are all references similarly complicated? Some gentle introduction would be welcome.



Can someone reading this post write such a paper and give here a link to it ?






reference-request set-theory forcing







share|cite|improve this question











$endgroup$




I'm looking for a paper/book/volume treating the forcing with creatures.
I've found one by Roslanowski-Shelah, but this one is too much complicated.
Are all references similarly complicated? Some gentle introduction would be welcome.



Can someone reading this post write such a paper and give here a link to it ?






reference-request set-theory forcing




reference-request set-theory forcing






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Dec 24 '18 at 18:11







user122424

















asked Dec 24 '18 at 17:28









user122424user122424

1,1212716




1,1212716








  • 1




    $begingroup$
    Sadly, that's the simplest text I've found on the subject - I'm excited to hear of a better one, though! (I don't know why there's the large cardinals tag here, though.)
    $endgroup$
    – Noah Schweber
    Dec 24 '18 at 17:49












  • $begingroup$
    The tag has been fixed. Do you mean that there are yet more complicated texts?
    $endgroup$
    – user122424
    Dec 24 '18 at 17:53






  • 4




    $begingroup$
    Step I: Read "Games with creatures" by Shelah and Zapletal (which focuses on some very basic examples of creature forcing) and the relevant examples in chapter 4 of Zapletal's "Forcing idealized" (which also shows an interesting correspondence between certain types of creature forcings and Hausdorff submeasures). Step II: Read some of the relevant papers by Kellner and Shelah. Step III: Write a paper with Shelah on creature forcing. Step IV: Read the Roslanowski-Shelah book. That was my path into creature forcing, and is still the easiest path that I can think of.
    $endgroup$
    – Haim
    Dec 24 '18 at 23:20








  • 1




    $begingroup$
    @Haim: I wouldn't say that you're the epitome of "easy paths", though. :-) [I'm not disagreeing with your outline, though, just making a point.]
    $endgroup$
    – Asaf Karagila♦
    Dec 24 '18 at 23:39








  • 1




    $begingroup$
    @Haim I think you should give that (at least I and II) as an answer: I don't think there will be a better one, and the Shelah/Zapletal and Zapletal texts might be new to the OP and other readers of this question so it really does contribute something.
    $endgroup$
    – Noah Schweber
    Dec 29 '18 at 4:18














  • 1




    $begingroup$
    Sadly, that's the simplest text I've found on the subject - I'm excited to hear of a better one, though! (I don't know why there's the large cardinals tag here, though.)
    $endgroup$
    – Noah Schweber
    Dec 24 '18 at 17:49












  • $begingroup$
    The tag has been fixed. Do you mean that there are yet more complicated texts?
    $endgroup$
    – user122424
    Dec 24 '18 at 17:53






  • 4




    $begingroup$
    Step I: Read "Games with creatures" by Shelah and Zapletal (which focuses on some very basic examples of creature forcing) and the relevant examples in chapter 4 of Zapletal's "Forcing idealized" (which also shows an interesting correspondence between certain types of creature forcings and Hausdorff submeasures). Step II: Read some of the relevant papers by Kellner and Shelah. Step III: Write a paper with Shelah on creature forcing. Step IV: Read the Roslanowski-Shelah book. That was my path into creature forcing, and is still the easiest path that I can think of.
    $endgroup$
    – Haim
    Dec 24 '18 at 23:20








  • 1




    $begingroup$
    @Haim: I wouldn't say that you're the epitome of "easy paths", though. :-) [I'm not disagreeing with your outline, though, just making a point.]
    $endgroup$
    – Asaf Karagila♦
    Dec 24 '18 at 23:39








  • 1




    $begingroup$
    @Haim I think you should give that (at least I and II) as an answer: I don't think there will be a better one, and the Shelah/Zapletal and Zapletal texts might be new to the OP and other readers of this question so it really does contribute something.
    $endgroup$
    – Noah Schweber
    Dec 29 '18 at 4:18








1




1




$begingroup$
Sadly, that's the simplest text I've found on the subject - I'm excited to hear of a better one, though! (I don't know why there's the large cardinals tag here, though.)
$endgroup$
– Noah Schweber
Dec 24 '18 at 17:49






$begingroup$
Sadly, that's the simplest text I've found on the subject - I'm excited to hear of a better one, though! (I don't know why there's the large cardinals tag here, though.)
$endgroup$
– Noah Schweber
Dec 24 '18 at 17:49














$begingroup$
The tag has been fixed. Do you mean that there are yet more complicated texts?
$endgroup$
– user122424
Dec 24 '18 at 17:53




$begingroup$
The tag has been fixed. Do you mean that there are yet more complicated texts?
$endgroup$
– user122424
Dec 24 '18 at 17:53




4




4




$begingroup$
Step I: Read "Games with creatures" by Shelah and Zapletal (which focuses on some very basic examples of creature forcing) and the relevant examples in chapter 4 of Zapletal's "Forcing idealized" (which also shows an interesting correspondence between certain types of creature forcings and Hausdorff submeasures). Step II: Read some of the relevant papers by Kellner and Shelah. Step III: Write a paper with Shelah on creature forcing. Step IV: Read the Roslanowski-Shelah book. That was my path into creature forcing, and is still the easiest path that I can think of.
$endgroup$
– Haim
Dec 24 '18 at 23:20






$begingroup$
Step I: Read "Games with creatures" by Shelah and Zapletal (which focuses on some very basic examples of creature forcing) and the relevant examples in chapter 4 of Zapletal's "Forcing idealized" (which also shows an interesting correspondence between certain types of creature forcings and Hausdorff submeasures). Step II: Read some of the relevant papers by Kellner and Shelah. Step III: Write a paper with Shelah on creature forcing. Step IV: Read the Roslanowski-Shelah book. That was my path into creature forcing, and is still the easiest path that I can think of.
$endgroup$
– Haim
Dec 24 '18 at 23:20






1




1




$begingroup$
@Haim: I wouldn't say that you're the epitome of "easy paths", though. :-) [I'm not disagreeing with your outline, though, just making a point.]
$endgroup$
– Asaf Karagila♦
Dec 24 '18 at 23:39






$begingroup$
@Haim: I wouldn't say that you're the epitome of "easy paths", though. :-) [I'm not disagreeing with your outline, though, just making a point.]
$endgroup$
– Asaf Karagila♦
Dec 24 '18 at 23:39






1




1




$begingroup$
@Haim I think you should give that (at least I and II) as an answer: I don't think there will be a better one, and the Shelah/Zapletal and Zapletal texts might be new to the OP and other readers of this question so it really does contribute something.
$endgroup$
– Noah Schweber
Dec 29 '18 at 4:18




$begingroup$
@Haim I think you should give that (at least I and II) as an answer: I don't think there will be a better one, and the Shelah/Zapletal and Zapletal texts might be new to the OP and other readers of this question so it really does contribute something.
$endgroup$
– Noah Schweber
Dec 29 '18 at 4:18










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